TNFR Logo
TheoryLearnSoftwareResearch

On this page

TNFR

Resonant Fractal Nature Theory — a mathematical framework for coherent patterns on graph-coupled networks.

About
  • Project history
  • Editorial policy
  • Contact
Resources
  • GitHub
  • PyPI
  • DOI · Zenodo
Legal
  • MIT License
  • Citation
© 2026 TNFR project — MIT licensed.DOI 10.5281/zenodo.17602860
docs
grammar
PHYSICS_VERIFICATION.md
API_CONTRACTS.mdCANONICAL_OZ_SEQUENCES.mdEMPIRICAL_CONFRONTATION_EEG.mdREADME.mdSTRUCTURAL_FIELDS_TETRAD.mdSTRUCTURAL_INTERFACE_THEORY.md
theory
APPLIED_STRUCTURAL_ANALYSIS.mdCATALOG_TYPE_HYGIENE_PROGRAMME.mdDISSIPATIVE_AND_OPEN_SYSTEMS.mdEMERGENT_ONTOLOGY.mdEXTENDED_FIELDS_AND_DERIVED_QUANTITIES.mdFUNDAMENTAL_THEORY.mdGAUGE_SYMMETRY_AND_UNIFICATION.mdGLOSSARY.mdMATHEMATICAL_DYNAMICS_BASIS.mdMINIMAL_STRUCTURAL_DEGREES.mdNUCLEUS_A_PRIME_LADDER_ATLAS.mdNUCLEUS_B_EQUIVARIANCE_OBSTRUCTIONS.mdPHYSICAL_REGIME_CORRESPONDENCES.mdREADME.mdREMESH_INFINITY_DERIVATION.mdSTRUCTURAL_CONSERVATION_THEOREM.mdSTRUCTURAL_OPERATORS.mdSTRUCTURAL_STABILITY_AND_DYNAMICS.mdTNFR_BSD_RESEARCH_NOTES.mdTNFR_HODGE_RESEARCH_NOTES.mdTNFR_NAVIER_STOKES_RESEARCH_NOTES.mdTNFR_NUMBER_THEORY.mdTNFR_P_VS_NP_RESEARCH_NOTES.mdTNFR_RIEMANN_RESEARCH_NOTES.mdTNFR_VARIATIONAL_PRINCIPLE.mdTNFR_YANG_MILLS_RESEARCH_NOTES.mdTNFR.pdfUNIFIED_GRAMMAR_RULES.md
factorization-lab
analysis
analyze_patterns.pycertificate_manifest.py
benchmarks
benchmark_analysis.pybenchmark_expansion_suite.pyfull_spectrum_factorization.pypaley_gap_extended.pypaley_gap_smoke.pytest_benchmark_suite.py
demos
experiment_contexts
exp_0b1663cd19b7.jsonexp_0bf0054b7474.jsonexp_75a4c8ca616a.jsonexp_848ee0fd1857.jsonexp_f6fe00562193.jsonexp_fdf3da424e1e.json
failure_telemetry_batch.pyfeedback_integration_demo.pyintegration_demo_snapshots.dbseed_management_integration_demo.pysnapshot_integration_demo.pytrajectory_143.jsontrajectory_77.jsontrajectory_89.jsontrajectory_91.jsontrajectory_97.json
docs
FACTORING_PLAYBOOK.mdFALSE_POSITIVE_TEST_SUITE.mdOPERATOR_CERTIFICATES.mdROADMAP.mdSPECTRAL_ROUTE.md
experiment_contexts
exp_cebe1d9e7d8e.json
notebooks
spectral_history.ipynb
scripts
run_false_positive_tests.py
tests
run_false_positive_test_suite.pytest_cli.pytest_false_positive_methodology.pytest_false_positive_verifier.pytest_feedback_integration.pytest_partitioning.pytest_seed_management.pytest_self_opt_support.pytest_snapshot_system.pytest_spectral_paley.pytest_verification_robustness.py
tnfr_factorization
__init__.pyapi.pycli.pyfailure_telemetry.pyfeedback_adapter.pyfeedback_integration.pypartitioning.pyself_opt_support.pyspectral_paley.py
demo_snapshots.dbLICENSE_SNAPSHOT.mdPACKAGE_SUMMARY.mdREADME.mdseed_management.pysnapshot_system.pytest_certificate_hashing.pytest_installation.pyverification_trajectory_77.json
benchmarks
analyze_tetrad_universality.pyb0star_alpha_canonical_product_graphs.pybenchmark_optimization_tracks.pybenchmark_utils.pyboundary_vibration.pybridge_primes_riemann.pychiral_involution.pycli_utils.pycoherence_projector_sense_index.pycommutant_bridge.pycomposition_arithmetic.pyconfinement_zones_test.pyconservation_law_validation.pydirected_paley_bridge.pyemergent_arithmetic_pulse.pyemergent_atom_dynamics.pyemergent_atomic_shells.pyemergent_base_dimension.pyemergent_dimension_dynamics.pyemergent_fractal_pulse.pyemergent_fractal_simplex_dimension.pyemergent_integers_symmetry.pyemergent_musical_nfr.pyemergent_nfr_geometry.pyemergent_nfr_where.pyemergent_rationals.pyemergent_rhythm.pyemergent_screening.pyemergent_shell_cardinals.pyemergent_shell_ordering.pyemergent_simplex_dimension.pyemergent_substrate_symmetry.pyequivariance_wall.pyexternal_phase_gate_validation.pyfield_methods_battery.pygolden_residue_remesh_bridge.pyintegrated_force_regime_study.pyinverse_spectrum_to_symmetry.pyk_phi_safety_demo.pykuramoto_farey_bridge.pymissing_piece_bridge.pymultichannel_interface_benchmark.pynavier_stokes_recipe_bridge.pynodal_propagator_residue_bridge.pyns_moment_hierarchy_cascade.pyoperational_irreducibility.pypaley_bridge.pyphase_curvature_investigation.pyphase_wall.pyphi_s_confinement_investigation.pyprimes_as_consequence.pypulse_phase_coherence_budget.pyREADME.mdremesh_infinity_riemann_baseline.pyremesh_infinity_riemann_composed.pyremesh_infinity_riemann_modified_graph.pyremesh_infinity_riemann_operator.pyremesh_infinity_riemann_spectral_basis.pyremesh_infinity_riemann_spectral_robustness.pyremesh_infinity_riemann_spectral.pyresidue_phase_vs_riemann.pystructural_interface_benchmark.pytemporal_interface_benchmark.pytetrad_results_aggregate.pyu2_destabilization_irreversibility.pyuniversality_clusters.pyxi_c_fast_experiment.py
primality-test
benchmarks
comprehensive_benchmark.py
docs
ADVANCED_INTEGRATION.mdmathematical_foundation.mdperformance_analysis.md
examples
advanced_examples.pybasic_usage.py
tnfr_primality
__init__.py__main__.pyadvanced_cli.pyadvanced_core.pycli.pyconstants.pycore.pyoptimized.py
MANIFEST.inPACKAGE_SUMMARY.mdREADME.mdRELEASE_NOTES_v1.0.mdsetup.pytest_installation.py
tests
core_physics
__init__.pytest_conservation_laws.pytest_delta_nfr_computation_paths.pytest_delta_nfr.pytest_dispersion_coherence_sign_invariance.pytest_emergent_constants_guard.pytest_lyapunov_operators.pytest_nodal_equation.pytest_structural_triad.py
data
replay_manifests
sample_run
_manifest_summary.json_manifest.json_partition_files.txt.gz
self_opt_validation
seed_alpha
paley.json
seed_beta
integration.json
seed_gamma
unknown.json
self_optimization
test_run
partitioned
test_run
test_run_p0.jsontest_run_p1.json
_manifest_summary.json_manifest.json
engines
test_pattern_discovery_manifest.pytest_self_optimization_engine.py
mathematics
__init__.pytest_autodiff.pytest_backends.pytest_dissipative_dynamics.pytest_epi.pytest_factory_patterns.pytest_metrics.pytest_navier_stokes_refounded.pytest_number_theory_canonical.pytest_operators.pytest_residue_networks.pytest_riemann_nodal_pulse.pytest_riemann_pulse_coherence.pytest_spaces.pytest_transforms.pytest_validator.py
operators
test_canonical_operators_modern.pytest_grammar_canon.pytest_grammar_canonical_consistency.pytest_grammar_dynamics.pytest_operator_contracts.pytest_operator_strategies.py
parallel
test_fractal_partition_manifest.py
physics
test_conservation_gauge_unification.pytest_dissipative_conservation.pytest_emergent_chemistry.pytest_field_cache_invalidation.pytest_gauge.pytest_phase_transition.pytest_signatures.pytest_spectral_conservation.pytest_structural_diffusion.pytest_structural_integrity.pytest_symplectic_substrate.pytest_tetrad_bounds.pytest_variational.pytest_yang_mills_closure.pytest_yang_mills_derivability.pytest_yang_mills_scaling.pytest_yang_mills_structural_gap.pytest_yang_mills_u6_sweep.py
scripts
test_run_self_opt_validation.pytest_run_self_optimization.py
sdk
__init__.pytest_simple_advanced.py
__init__.pyconftest.pyREADME.mdtest_breast_cancer_phase_gate_demo.pytest_classical_mechanics.pytest_distributed_fft.pytest_external_phase_gate_validation.pytest_factorization_entrypoint.pytest_multichannel_interface.pytest_nodal_optimizer.pytest_phase_gate_api.pytest_replay_register_manifest.pytest_signal_confrontation.pytest_structural_interface_api.pytest_structural_interface_baselines.pytest_structural_interface_benchmark.pytest_temporal_interface.pytest_vectorized_coherence_length_regression.pytest_wine_quality_phase_gate_demo.pyutils.py
examples
01_foundations
01_hello_world.py02_musical_resonance.py03_network_formation.py04_operator_sequences.py05_coherence_evolution.py06_network_topologies.py07_phase_transitions.py08_emergent_phenomena.py09_visualization_suite.py10_simplified_sdk_showcase.py
02_physics_regimes
11_classical_limit_comparison.py115_operator_contract_audit.py12_classical_mechanics_demo.py13_quantum_mechanics_demo.py14_uncertainty_and_interference.py15_train_crossing_demo.py17_conservation_law_demo.py26_gauge_structure_demo.py27_variational_principle_demo.py28_dissipative_systems_demo.py29_lyapunov_stability_demo.py30_self_optimization_demo.py31_mathematical_constants_basis.py33_complex_field_unification.py34_conservation_protocol_suite.py35_tetrad_irreducibility.py36_grammar_violation_detector.py37_operator_tetrad_synergy.py38_grammar_energy_landscape.py39_nodal_equation_decomposition.py
03_riemann_zeta
157_nodal_pulse_phase_attack.py41_von_mangoldt_zeta_demo.py42_riemann_zeros_as_resonances.py43_prime_ladder_hamiltonian_demo.py44_weil_explicit_formula_demo.py45_li_keiper_demo.py46_weil_tnfr_positivity_demo.py47_alpha_sweep_demo.py48_admissible_family_sweep_demo.py49_nodeaware_gauge_sweep_demo.py50_uniform_coercivity_demo.py51_adaptive_coercivity_demo.py52_paley_gap_coercivity_demo.py53_lyapunov_spectral_positivity_demo.py54_hilbert_polya_demo.py55_structural_zero_density_demo.py56_spectral_emergence_demo.py57_admissible_rescaling_demo.py58_oscillatory_correction_demo.py
04_riemann_L_twisted
59_dirichlet_l_function_demo.py60_dirichlet_l_continuation_demo.py61_dirichlet_l_hamiltonian_demo.py62_dirichlet_weil_explicit_formula_demo.py63_dirichlet_li_keiper_demo.py64_twisted_weil_positivity_demo.py65_twisted_alpha_sweep_demo.py66_twisted_admissible_family_sweep_demo.py67_twisted_nodeaware_gauge_sweep_demo.py68_twisted_hermite_family_demo.py69_twisted_coercivity_uniform_demo.py70_twisted_paley_gap_coercivity_demo.py71_twisted_lyapunov_spectral_demo.py72_twisted_hilbert_polya_demo.py73_twisted_structural_zero_density_demo.py74_twisted_spectral_emergence_demo.py75_twisted_admissible_rescaling_demo.py76_twisted_oscillatory_correction_demo.py
05_type_hygiene
77_remesh_infinity_residue_split_demo.py78_nuf_type_signature_demo.py79_epi_type_signature_demo.py80_phi_type_signature_demo.py81_dnfr_type_signature_demo.py82_remesh_window_type_signature_demo.py83_delta_phi_max_type_signature_demo.py84_coupling_weights_type_signature_demo.py85_tetrad_closure_signature_demo.py86_currents_closure_signature_demo.py87_aggregates_closure_signature_demo.py88_urules_consistency_signature_demo.py89_operator_catalog_discipline_signature_demo.py
06_navier_stokes
158_navier_stokes_two_face_refounded.py
07_number_theory
100_prime_families_orbits.py101_numbers_as_coupled_network.py102_nodal_flow_primes_equilibria.py116_nuf_emergent_prime_visibility.py146_primality_grammatical_inertness.py147_numbers_as_free_monoid_words.py148_capacity_arm_carries_von_mangoldt.py149_p14_is_the_capacity_arm_operator.py153_structural_frequency_rank_cyclotomy.py40_arithmetic_number_theory.py94_generative_number_construction.py95_primes_from_spectral_waves.py96_spectral_vibration_of_coherence.py97_goldbach_additive_multiplicative.pyemergent_chemistry_particles_demo.py
08_emergent_geometry
103_emergent_substrate_meets_riemann.py106_per_node_polarization_geometry.py107_orthogonal_structure_emergent_geometry.py108_emergent_field_generating_structure.py112_structure_predicts_coherence_flow.py113_overdamped_projection_bridge.py114_substrate_conserved_quantities.py117_emergent_geometry_residue_graph.py118_emergent_vs_classical_operator.py119_phase_sector_directed_residue.py120_symmetry_wall_substrate_vs_spectrum.py121_canonical_symmetry_break_negative.py122_factorization_phase_sector.py123_symmetry_sector_decomposition.py124_emergent_metric_fractal_consistency.py125_node_is_the_emergent_substrate.py126_two_layers_base_fiber.py127_base_is_emergent_not_imposed.py128_base_substrate_coemergence.py129_spectral_gap_base_fiber_clock.py130_operators_break_substrate_charges.py131_coemergent_loop_convergence.py132_geometric_phase_holonomy.py133_psi_topological_defects.py134_spectral_dimension_heat_kernel.py135_arrow_of_time_h_theorem.py136_heat_kernel_coefficients.py137_synchronization_transition.py138_structure_frequency_synchronization.py139_grammar_formal_language.py140_grammar_automaton.py141_grammar_rule_decomposition.py142_grammar_operator_quotient.py143_glyphic_function_sublanguage.py144_branching_combinator.py145_syntactic_monoid_starfree.py150_emergent_grammatical_pattern_parry.py151_grammar_in_emergent_geometry.py152_operator_contract_tetrahedron.py154_conductor_annotated_qr_spectrum.py155_ontological_position_of_numbers.py156_emergence_directness_law.py98_emergent_symplectic_substrate.py99_structural_diffusion.pyunified_fields_showcase.py
09_millennium
109_p_vs_np_coherence_synthesis.py110_bsd_rank_structural_pressure.py111_hodge_discrete_and_honest_gap.py
10_applications
159_empirical_confrontation_pipeline.py90_phase_gate_monitor_demo.py91_breast_cancer_phase_gate_demo.py92_wine_quality_phase_gate_demo.py93_structural_interface_demo.pypytorch_cuda_demo.py
README.md
scripts
replay
__init__.pyregister_manifest.py
__init__.pyREADME.mdrebuild_failure_manifest.pyrun_reproducible_benchmarks.pyrun_self_opt_validation.pyrun_self_optimization.pytnfr_is_prime.pyvalidate_conservation_law.pyverify_internal_references.py
src
core
__init__.pyevaluation.py
tnfr
backends
__init__.pyjax_backend.pynumpy_backend.pyoptimized_numpy.pyREADME.mdtorch_backend.py
cli
__init__.py__init__.pyiarguments.pyarguments.pyiexecution.pyexecution.pyiinteractive_validator.pyREADME.mdutils.pyutils.pyi
compat
__init__.pydataclass.pyjsonschema_stub.pymatplotlib_stub.pynumpy_stub.pyREADME.md
config
__init__.py__init__.pyiconstants.pyconstants.pyidefaults_core.pydefaults_init.pydefaults_metric.pydefaults.pyfeature_flags.pyfeature_flags.pyiglyph_constants.pyoperator_names.pyoperator_names.pyiphysics_derivation.pyprecision_modes.pypresets.pypresets.pyiREADME.mdsecurity.pythresholds.pytnfr_config.py
constants
__init__.py__init__.pyialiases.pyaliases.pyicanonical.pymetric.pymetric.pyioperational.py
core
__init__.pycontainer.pydefault_implementations.pyexceptions.pyinterfaces.pyREADME.md
dynamics
__init__.py__init__.pyiadaptation.pyadaptation.pyiadaptive_sequences.pyadaptive_sequences.pyiadelic.pyadvanced_cache_optimizer.pyadvanced_fft_arithmetic.pyaliases.pyaliases.pyibifurcation.pycache_aware_fft_engine.pycanonical.pycanonical.pyicomputational_hub.pycoordination.pycoordination.pyidistributed_fft.pydnfr.pydnfr.pyidynamic_limits.pyemergent_centralization.pyemergent_integration_engine.pyfeedback.pyfeedback.pyifft_backend.pyfft_cache_coordinator.pyfft_dispatchers.pyfft_engine.pyfft_workers.pyfused_dnfr.pyhomeostasis.pyhomeostasis.pyiintegrators.pyintegrators.pyilearning.pylearning.pyimetabolism.pymulti_modal_cache.pynbody_tnfr.pynbody.pynodal_optimizer.pyoptimization_orchestrator.pypropagation.pyREADME.mdruntime.pyruntime.pyisampling.pysampling.pyiselectors.pyselectors.pyiself_optimizing_engine.pyspectral_structural_fusion.pystructural_cache.pystructural_clip.pysymplectic.pyunified_backend.pyunified_mathematical_cache_orchestrator.py
engines
computation
__init__.pyfft_engine.pyunified_fft_engine.pyunified_gpu_system.py
constants
__init__.pycanonical.pyoperational.py
integration
__init__.pyemergent_integration.py
pattern_discovery
__init__.pymathematical_patterns.pymulti_modal_cache.py
self_optimization
__init__.pyengine.py
__init__.pyREADME.md
errors
__init__.pycontextual.py
factorization
__init__.py
flatten
README.md
gamma
README.md
glyph_history
README.md
glyph_runtime
README.md
immutable
README.md
initialization
README.md
io
README.md
math
__init__.pyfields_symbolic.pygrammar_validators.pyoptimizer.pyREADME.mdsymbolic.py
mathematics
__init__.pybackend.pybackend.pyidynamics.pydynamics.pyiepi.pyepi.pyigenerators.pygenerators.pyiliouville.pymetrics.pymetrics.pyinumber_theory.pyoperators_factory.pyoperators_factory.pyioperators.pyoperators.pyioptimized_primality.pyprojection.pyprojection.pyiREADME.mdruntime.pyruntime.pyispaces.pyspaces.pyispectral.pytransforms.pytransforms.pyiunified_cache.pyunified_numerical.pyzeta.py
metrics
__init__.py__init__.pyibuffer_cache.pybuffer_cache.pyicache_utils.pycoherence.pycoherence.pyicommon.pycommon.pyicore.pycore.pyidiagnosis.pydiagnosis.pyiemergence.pyexport.pyexport.pyiglyph_timing.pyglyph_timing.pyilearning_metrics.pylearning_metrics.pyilocal_coherence.pyphase_coherence.pyphase_compatibility.pyREADME.mdreporting.pyreporting.pyisense_index.pysense_index.pyitelemetry.pytetrad.pytrig_cache.pytrig_cache.pyitrig.pytrig.pyi
multiscale
__init__.pyhierarchical.pyREADME.md
navier_stokes
__init__.pyconservative_face.pyoperator.py
node
README.md
observers
README.md
operators
network_analysis
__init__.pysource_detection.py
postconditions
__init__.pymutation.py
preconditions
__init__.pycoherence.pydissonance.pyemission.pymutation.pyreception.pyresonance.py
strategies
__init__.pydefaults.pygpu_strategies.pystrategy.py
__init__.py__init__.pyialgebra.pycanonical_patterns.pycascade.pycoherence.pycontraction.pycoupling.pycycle_detection.pydefinitions_base.pydefinitions.pydefinitions.pyidissonance.pyemission.pyexpansion.pygrammar_application.pygrammar_canon.pygrammar_context.pygrammar_core.pygrammar_dynamics.pygrammar_error_factory.pygrammar_memoization.pygrammar_patterns.pygrammar_telemetry.pygrammar_types.pygrammar_u6.pygrammar_validate.pygrammar.pygrammar.pyihamiltonian.pyhealth_analyzer.pyintrospection.pyjitter.pyjitter.pyilifecycle.pymetabolism.pymetrics_basic.pymetrics_core.pymetrics_network.pymetrics_structural.pymetrics_u6.pymetrics.pymutation.pynodal_equation.pyoperator_contracts.pypattern_detection.pypatterns.pyREADME.mdreception.pyrecursivity.pyregistry.pyregistry.pyiremesh.pyremesh.pyiresonance.pyself_organization.pysilence.pystructural_units.pytransition.py
parallel
__init__.pyauto_scaler.pydistributed.pyengine.pymonitoring.pypartitioner.pyREADME.md
performance
guardrails.py
physics
__init__.py_helpers.pycalibration.pycanonical.pycell.pyclassical_mechanics.pyconservation_gauge_unification.pyconservation.pydissipative_conservation.pyemergent_chemistry.pyemergent_particles.pyextended.pyfields.pygauge.pyintegrity.pyinteractions.pylife.pylyapunov.pypatterns.pyphase_transition.pyquantum_mechanics.pyREADME.mdsignatures.pyspectral_conservation.pyspectral_metrics.pystructural_diffusion.pysymplectic_substrate.pytelemetry.pyunified.pyvariational.pyvectorized_ops.py
primality
__init__.py
recipes
__init__.pycookbook.pyREADME.md
riemann
__init__.pyadmissible_family_sweep.pyadmissible_rescaling.pyaggregates_closure_signature.pyalpha_sweep.pyanalytic_continuation_dirichlet.pyanalytic_continuation.pycoercivity_uniform.pycoupling_weights_type_signature.pycurrents_closure_signature.pydelta_phi_max_type_signature.pydirichlet_l.pydnfr_type_signature.pyepi_type_signature.pyhilbert_polya.pyli_keiper.pylyapunov_spectral_positivity.pynodal_pulse.pynodeaware_gauge_sweep.pynuf_type_signature.pyoperator_catalog_discipline_signature.pyoperator.pyoscillatory_correction.pypaley_gap_coercivity.pyphi_type_signature.pyprime_ladder_hamiltonian.pypulse_coherence.pyremesh_infinity_residue_split.pyremesh_window_type_signature.pyspectral_emergence.pystructural_zero_density.pytelemetry.pytetrad_closure_signature.pytwisted_admissible_family_sweep.pytwisted_admissible_rescaling.pytwisted_alpha_sweep.pytwisted_coercivity_uniform.pytwisted_hermite_family.pytwisted_hilbert_polya.pytwisted_li_keiper.pytwisted_lyapunov_spectral_positivity.pytwisted_nodeaware_gauge_sweep.pytwisted_oscillatory_correction.pytwisted_paley_gap_coercivity.pytwisted_prime_ladder_hamiltonian.pytwisted_spectral_emergence.pytwisted_structural_zero_density.pytwisted_weil_explicit_formula.pytwisted_weil_positivity.pyurules_consistency_signature.pyvon_mangoldt.pyweil_explicit_formula.pyweil_positivity.py
schemas
__init__.pygrammar.jsonREADME.md
sdk
__init__.py__init__.pyiadaptive_system.pyadaptive_system.pyibuilders.pybuilders.pyifluent.pyfluent.pyiREADME.mdself_opt.pysimple.pytemplates.pytemplates.pyiutils.py
security
__init__.pycrypto.pydatabase.pyREADME.mdsubprocess.pyvalidation.py
sequencing
__init__.pypatterns.pyREADME.md
services
__init__.pyorchestrator.pyREADME.md
sparse
__init__.pyREADME.mdrepresentations.py
structural
README.md
telemetry
__init__.pycache_metrics.pycache_metrics.pyiconstants.pynu_f.pynu_f.pyiREADME.mdunified_telemetry_system.pyverbosity.pyverbosity.pyi
tools
__init__.pydomain_templates.pyREADME.mdsequence_generator.pytnfr_is_prime_cli_optimized.pytnfr_is_prime_cli.py
topology
__init__.pyasymmetry.pyREADME.md
utils
cache_layers.pycache.pycache.pyicallbacks.pycallbacks.pyichunks.pychunks.pyidata.pydata.pyifast_diameter.pygraph.pygraph.pyiinit.pyinit.pyiio.pyio.pyinumeric.pynumeric.pyiREADME.mdtopology.pyunified_cache.py
validation
__init__.py__init__.pyiaggregator.pybase.pycompatibility.pycompatibility.pyiconfig.pygraph.pygraph.pyihealth.pyinput_validation.pyinterface_baselines.pyinvariants.pymultichannel_interface.pyphase_gate.pyREADME.mdrules.pyrules.pyiruntime.pyruntime.pyisequence_validator.pysignal_confrontation.pysoft_filters.pysoft_filters.pyispectral.pyspectral.pyistructural_interface.pytemporal_interface.pyunified_validation_system.pyvalidator.pywindow.pywindow.pyi
visualization
__init__.pycascade_viz.pyhierarchy.pyREADME.mdsequence_plotter.py
yang_mills
__init__.pyclosure.pyderivability.pyscaling.pystructural_gap.pyu6_sweep.py
__init__.py__init__.pyi_compat.py_version.py_version.pyialias.pyalias.pyibackend_config.pycache.pycache.pyiexecution.pyexecution.pyiflatten.pyflatten.pyigamma.pygamma.pyiglyph_history.pyglyph_history.pyiglyph_runtime.pyglyph_runtime.pyiimmutable.pyimmutable.pyiinitialization.pyinitialization.pyiio.pyio.pyilocking.pylocking.pyinode.pynode.pyiobservers.pyobservers.pyiontosim.pyontosim.pyipy.typedrng.pyrng.pyisecure_config.pyselector.pyselector.pyisense.pysense.pyistructural.pystructural.pyitokens.pytokens.pyitrace.pytrace.pyitypes.pytypes.pyiunits.pyunits.pyi
tetrad_evaluator.py
.pre-commit-config.yaml.semgrep.yaml.zenodo.jsonARCHITECTURE.mdbandit.yamlCHANGELOG.mdCITATION.cffCONTRIBUTING.mdEMERGENT_CANON_AUDIT.mdEMERGENT_DERIVATION_PLAN.mdLICENSE.mdMakefileMANIFEST.inpyproject.tomlpyrightconfig.jsonPYTORCH_CUDA_INTEGRATION.mdREADME.mdSECURITY.mdTESTING.mdTNFR_Website_Content_Brief.md
FILE: src/tnfr/metrics/telemetry.py

telemetry.py

Unified telemetry emitter for TNFR Phase 3.

This module provides a lightweight, unified interface for exporting structural metrics and canonical field measurements during simulations.

Design Goals (Phase 3):

  1. Physics fidelity: All metrics trace directly to TNFR invariants or canonical structural fields (Φ_s, |∇φ|, K_φ, ξ_C plus extended suite).
  2. Zero mutation: Telemetry collection MUST NOT mutate EPI or ΔNFR.
  3. Low overhead: Target <5% added wall time per sampling interval.
  4. Fractality aware: Works for nested EPIs (operational fractality).
  5. Reproducibility: Includes seed + run id for trajectory replay.
  6. Grammar alignment: Does not interfere with operator sequencing (U1-U4); U6 confinement data is read-only.

Core Concepts:

TelemetryEvent: Immutable snapshot of structural metrics. TelemetryEmitter: Context-managed collector writing JSON Lines and/or human-readable summaries. Batching is optional; immediate flush by default for reliability on long runs.

Minimal Public API:

TelemetryEmitter(path).record(G, step=..., operator=..., extra=...) TelemetryEmitter(path).flush()

Extension Points:

  • Add selective sampling policies
  • Integrate performance guardrails (duration stats)
  • Attach operator introspection metadata (to be added in Phase 3 task)

Invariants Preserved:

  1. EPI changes only via operators (no mutation here)
  2. νf units preserved (Hz_str not altered)
  3. ΔNFR semantics retained (never reframed as loss)
  4. Operator closure untouched
  5. Phase verification external (we only read phase values)
  6. Lifecycle unaffected
  7. Fractality supported through recursive traversal utilities (future)
  8. Determinism: seed included if provided
  9. Structural metrics exported (C(t), Si, phase, νf + fields)
  10. Domain neutrality: No domain-specific assumptions

NOTE: This initial implementation focuses on correctness & clarity. Performance guardrails and operator introspection will hook into this emitter in subsequent Phase 3 steps.

Source Code

python
"""Unified telemetry emitter for TNFR Phase 3.

This module provides a lightweight, unified interface for exporting
structural metrics and canonical field measurements during simulations.

Design Goals (Phase 3):
-----------------------
1. Physics fidelity: All metrics trace directly to TNFR invariants or
   canonical structural fields (Φ_s, |∇φ|, K_φ, ξ_C plus extended suite).
2. Zero mutation: Telemetry collection MUST NOT mutate EPI or ΔNFR.
3. Low overhead: Target <5% added wall time per sampling interval.
4. Fractality aware: Works for nested EPIs (operational fractality).
5. Reproducibility: Includes seed + run id for trajectory replay.
6. Grammar alignment: Does not interfere with operator sequencing
   (U1-U4); U6 confinement data is read-only.

Core Concepts:
--------------
TelemetryEvent: Immutable snapshot of structural metrics.
TelemetryEmitter: Context-managed collector writing JSON Lines and/or
human-readable summaries. Batching is optional; immediate flush by
default for reliability on long runs.

Minimal Public API:
-------------------
TelemetryEmitter(path).record(G, step=..., operator=..., extra=...)
TelemetryEmitter(path).flush()

Extension Points:
-----------------
 - Add selective sampling policies
 - Integrate performance guardrails (duration stats)
 - Attach operator introspection metadata (to be added in Phase 3 task)

Invariants Preserved:
---------------------
1. EPI changes only via operators (no mutation here)
2. νf units preserved (Hz_str not altered)
3. ΔNFR semantics retained (never reframed as loss)
4. Operator closure untouched
5. Phase verification external (we only read phase values)
6. Lifecycle unaffected
7. Fractality supported through recursive traversal utilities (future)
8. Determinism: seed included if provided
9. Structural metrics exported (C(t), Si, phase, νf + fields)
10. Domain neutrality: No domain-specific assumptions

NOTE: This initial implementation focuses on correctness & clarity.
Performance guardrails and operator introspection will hook into this
emitter in subsequent Phase 3 steps.
"""

from __future__ import annotations

import json
import time
from dataclasses import asdict, dataclass
from datetime import datetime, timezone
from pathlib import Path
from typing import Any, Iterable, Mapping, MutableMapping

from ..mathematics.unified_numerical import np

try:  # Physics field computations (canonical tetrad + extended suite)
    from ..physics.fields import compute_extended_canonical_suite  # returns dict
    from ..physics.fields import (  # Unified field framework + auto-optimization (NEW Nov 28, 2025)
        analyze_optimization_potential,
        compute_phase_curvature,
        compute_phase_gradient,
        compute_structural_potential,
        compute_unified_telemetry,
        estimate_coherence_length,
        recommend_field_optimization_strategy,
    )

    _UNIFIED_FIELDS_AVAILABLE = True
except Exception:  # pragma: no cover - graceful degradation
    compute_extended_canonical_suite = None  # type: ignore
    compute_structural_potential = None  # type: ignore
    compute_phase_gradient = None  # type: ignore
    compute_phase_curvature = None  # type: ignore
    estimate_coherence_length = None  # type: ignore
    compute_unified_telemetry = None  # type: ignore
    analyze_optimization_potential = None  # type: ignore
    recommend_field_optimization_strategy = None  # type: ignore
    _UNIFIED_FIELDS_AVAILABLE = False

try:  # Existing metrics
    from .sense_index import sense_index  # type: ignore
except Exception:  # pragma: no cover
    sense_index = None  # type: ignore

try:
    from .coherence import compute_coherence  # type: ignore
except Exception:  # pragma: no cover
    compute_coherence = None  # type: ignore

__all__ = ["TelemetryEmitter", "TelemetryEvent"]


@dataclass(frozen=True, slots=True)
class TelemetryEvent:
    """Immutable telemetry snapshot.

    Fields
    ------
    t_iso : str
        ISO8601 timestamp for wall-clock time.
    t_epoch : float
        Seconds since UNIX epoch.
    step : int | None
        Simulation step / operator index (if provided).
    operator : str | None
        Last applied operator mnemonic (AL, IL, OZ, etc.).
    metrics : Mapping[str, Any]
        Structural metrics dictionary.
    extra : Mapping[str, Any] | None
        User-supplied contextual additions (seed, run_id, notes, ...).
    """

    t_iso: str
    t_epoch: float
    step: int | None
    operator: str | None
    metrics: Mapping[str, Any]
    extra: Mapping[str, Any] | None = None


class TelemetryEmitter:
    """Unified telemetry collector for TNFR simulations.

    Parameters
    ----------
    path : str | Path
        Output file path (JSON Lines). Parent directories are created.
    flush_interval : int, default=1
        Number of events to batch before auto-flush. 1 = flush each event.
    include_extended : bool, default=True
        If True, compute extended canonical suite when available for
        efficiency; otherwise compute tetrad fields individually.
    safe : bool, default=True
        If True, wraps metric computations in try/except returning partial
        results on failure (never raises during record).
    human_mirror : bool, default=False
        If True, writes a sibling *.log file with concise summaries.

    Notes
    -----
    The emitter never mutates graph state; it only reads node attributes.
    """

    def __init__(
        self,
        path: str | Path,
        *,
        flush_interval: int = 1,
        include_extended: bool = True,
        safe: bool = True,
        human_mirror: bool = False,
        enable_optimization_analysis: bool = False,
    ) -> None:
        self.path = Path(path)
        self.path.parent.mkdir(parents=True, exist_ok=True)
        self.flush_interval = max(1, int(flush_interval))
        self.include_extended = bool(include_extended)
        self.safe = bool(safe)
        self.human_mirror = bool(human_mirror)
        self.enable_optimization_analysis = bool(enable_optimization_analysis)
        self._buffer: list[TelemetryEvent] = []
        self._start_time = time.perf_counter()
        self._human_path = self.path.with_suffix(".log") if self.human_mirror else None

        # Optimization tracking
        self._optimization_recommendations: list[dict[str, Any]] = []
        self._performance_baseline: dict[str, float] = {}

    # ------------------------------------------------------------------
    # Context manager
    # ------------------------------------------------------------------
    def __enter__(self) -> "TelemetryEmitter":  # noqa: D401
        return self

    def __exit__(self, exc_type, exc, tb) -> None:  # noqa: D401
        try:
            self.flush()
        finally:
            # No open handles to close (using append mode on demand)
            pass

    # ------------------------------------------------------------------
    # Public API
    # ------------------------------------------------------------------
    def record(
        self,
        G: Any,
        *,
        step: int | None = None,
        operator: str | None = None,
        extra: Mapping[str, Any] | None = None,
    ) -> TelemetryEvent:
        """Capture a telemetry snapshot.

        Parameters
        ----------
        G : Any
            TNFR graph-like object with node attributes.
        step : int | None
            Simulation step index.
        operator : str | None
            Last operator mnemonic for sequencing context.
        extra : Mapping[str, Any] | None
            Additional context (seed, run_id, grammar_state, etc.).
        """

        metrics: MutableMapping[str, Any] = {}

        def _compute() -> None:
            # Core structural metrics
            if compute_coherence is not None:
                try:
                    metrics["coherence_total"] = float(compute_coherence(G))
                except Exception:
                    if not self.safe:
                        raise
            if sense_index is not None:
                try:
                    metrics["sense_index"] = float(sense_index(G))
                except Exception:
                    if not self.safe:
                        raise

            # Canonical field tetrad (plus extended suite if available)
            if self.include_extended and compute_extended_canonical_suite is not None:
                try:
                    suite = compute_extended_canonical_suite(G)
                    if isinstance(suite, Mapping):
                        for k, v in suite.items():
                            metrics[k] = v
                except Exception:
                    if not self.safe:
                        raise

            # Unified field telemetry (Nov 28, 2025 - comprehensive audit integration)
            try:
                from ..physics.fields import compute_unified_telemetry

                unified_data = compute_unified_telemetry(G)

                # Extract key unified metrics for top-level telemetry
                if "complex_field" in unified_data:
                    cf = unified_data["complex_field"]
                    if "correlation" in cf:
                        metrics["k_phi_j_phi_correlation"] = float(cf["correlation"])
                    if (
                        "psi_magnitude" in cf
                        and len(cf["psi_magnitude"]) > 0
                        and np is not None
                    ):
                        metrics["psi_magnitude_mean"] = float(
                            np.mean(cf["psi_magnitude"])
                        )

                if "emergent_fields" in unified_data and np is not None:
                    ef = unified_data["emergent_fields"]
                    for field_name in [
                        "chirality",
                        "symmetry_breaking",
                        "coherence_coupling",
                    ]:
                        if field_name in ef and len(ef[field_name]) > 0:
                            metrics[f"{field_name}_mean"] = float(
                                np.mean(ef[field_name])
                            )
                            metrics[f"{field_name}_std"] = float(np.std(ef[field_name]))

                if "tensor_invariants" in unified_data:
                    ti = unified_data["tensor_invariants"]
                    if "conservation_quality" in ti:
                        metrics["conservation_quality"] = float(
                            ti["conservation_quality"]
                        )
                    if (
                        "energy_density" in ti
                        and len(ti["energy_density"]) > 0
                        and np is not None
                    ):
                        metrics["energy_density_total"] = float(
                            np.sum(ti["energy_density"])
                        )

                # Store complete unified data for detailed analysis
                metrics["unified_fields"] = unified_data

            except (ImportError, Exception):
                # Graceful degradation if unified fields not available
                if not self.safe:
                    raise
            else:
                # Tetrad individually
                if compute_structural_potential is not None:
                    try:
                        metrics["phi_s"] = compute_structural_potential(G)
                    except Exception:
                        if not self.safe:
                            raise
                if compute_phase_gradient is not None:
                    try:
                        metrics["phase_grad"] = compute_phase_gradient(G)
                    except Exception:
                        if not self.safe:
                            raise
                if compute_phase_curvature is not None:
                    try:
                        metrics["phase_curv"] = compute_phase_curvature(G)
                    except Exception:
                        if not self.safe:
                            raise
                if estimate_coherence_length is not None:
                    try:
                        metrics["xi_c"] = estimate_coherence_length(G)
                    except Exception:
                        if not self.safe:
                            raise

        if self.safe:
            try:
                _compute()
            except Exception:
                # Swallow and proceed with partial metrics
                pass
        else:
            _compute()

        # Use timezone-aware UTC to avoid deprecation of datetime.utcnow()
        event = TelemetryEvent(
            t_iso=datetime.now(timezone.utc).isoformat(timespec="seconds"),
            t_epoch=time.time(),
            step=step,
            operator=operator,
            metrics=dict(metrics),
            extra=dict(extra) if extra else None,
        )
        self._buffer.append(event)
        if len(self._buffer) >= self.flush_interval:
            self.flush()
        return event

    def flush(self) -> None:
        """Flush buffered telemetry events to disk."""
        if not self._buffer:
            return
        # JSON Lines write
        with self.path.open("a", encoding="utf-8") as fh:
            for ev in self._buffer:
                fh.write(json.dumps(asdict(ev), ensure_ascii=False) + "\n")
        if self._human_path is not None:
            with self._human_path.open("a", encoding="utf-8") as hf:
                for ev in self._buffer:
                    coh = ev.metrics.get("coherence_total")
                    si = ev.metrics.get("sense_index")
                    phi = ev.metrics.get("phi_s") or ev.metrics.get(
                        "structural_potential"
                    )
                    hf.write(
                        (
                            f"[{ev.step}] op={ev.operator} C={coh:.3f} "
                            f"Si={si:.3f} Φ_s={phi} t={ev.t_iso}\n"
                        )
                    )
        self._buffer.clear()

    # ------------------------------------------------------------------
    # Auto-optimization analysis (NEW - Nov 28, 2025)
    # ------------------------------------------------------------------

    def analyze_performance_potential(self, G: Any) -> dict[str, Any]:
        """
        Analyze optimization potential for current network state.

        Returns optimization recommendations based on unified field analysis
        and mathematical structure inspection.
        """
        if not self.enable_optimization_analysis or not _UNIFIED_FIELDS_AVAILABLE:
            return {
                "optimization_enabled": False,
                "analysis": {},
                "recommendations": [],
            }

        try:
            # Perform optimization analysis
            optimization_analysis = analyze_optimization_potential(G)

            # Store for tracking
            self._optimization_recommendations.append(
                {"timestamp": time.time(), "analysis": optimization_analysis}
            )

            # Keep only last 10 analyses for memory efficiency
            if len(self._optimization_recommendations) > 10:
                self._optimization_recommendations = self._optimization_recommendations[
                    -10:
                ]

            return {
                "optimization_enabled": True,
                "analysis": optimization_analysis,
                "recommendations": optimization_analysis.get(
                    "optimization_recommendations", []
                ),
                "predicted_improvements": optimization_analysis.get(
                    "predicted_improvements", {}
                ),
            }

        except Exception as e:
            if self.safe:
                return {"optimization_enabled": False, "error": str(e), "analysis": {}}
            else:
                raise

    def get_optimization_strategy_recommendation(
        self, G: Any, operation_type: str = "telemetry_collection"
    ) -> dict[str, Any]:
        """
        Get optimization strategy recommendation for specific operation.
        """
        if not self.enable_optimization_analysis or not _UNIFIED_FIELDS_AVAILABLE:
            return {
                "optimization_enabled": False,
                "strategy": "standard",
                "recommendations": [],
            }

        try:
            strategy_rec = recommend_field_optimization_strategy(G, operation_type)
            return {
                "optimization_enabled": True,
                "strategy": strategy_rec.get("recommended_strategy", "standard"),
                "recommendations": strategy_rec,
                "mathematical_insights": strategy_rec.get("optimization_insights", {}),
            }

        except Exception as e:
            if self.safe:
                return {
                    "optimization_enabled": False,
                    "error": str(e),
                    "strategy": "standard",
                }
            else:
                raise

    def record_with_optimization_analysis(
        self,
        G: Any,
        *,
        step: int | None = None,
        operator: str | None = None,
        extra: Mapping[str, Any] | None = None,
    ) -> tuple[TelemetryEvent, dict[str, Any]]:
        """
        Record telemetry event with integrated optimization analysis.

        Returns:
            tuple of (telemetry_event, optimization_analysis)
        """
        # Record baseline telemetry
        start_time = time.perf_counter()
        telemetry_event = self.record(G, step=step, operator=operator, extra=extra)
        telemetry_time = time.perf_counter() - start_time

        # Perform optimization analysis if enabled
        optimization_analysis = {}
        if self.enable_optimization_analysis:
            opt_start = time.perf_counter()
            optimization_analysis = self.analyze_performance_potential(G)
            optimization_time = time.perf_counter() - opt_start

            # Update performance baseline
            self._performance_baseline.update(
                {
                    "last_telemetry_time": telemetry_time,
                    "last_optimization_time": optimization_time,
                    "total_time": telemetry_time + optimization_time,
                    "optimization_overhead_pct": (
                        optimization_time / max(telemetry_time, 0.001)
                    )
                    * 100,
                }
            )

            # Add timing to analysis
            optimization_analysis["performance_timing"] = dict(
                self._performance_baseline
            )

        return telemetry_event, optimization_analysis

    # ------------------------------------------------------------------
    # Introspection / diagnostics
    # ------------------------------------------------------------------
    def stats(self) -> dict[str, Any]:
        """Return emitter internal statistics (buffer + runtime)."""
        stats_data = {
            "buffer_len": len(self._buffer),
            "flush_interval": self.flush_interval,
            "include_extended": self.include_extended,
            "uptime_sec": time.perf_counter() - self._start_time,
            "path": str(self.path),
        }

        # Add optimization statistics if enabled
        if self.enable_optimization_analysis:
            stats_data.update(
                {
                    "optimization_analysis_enabled": True,
                    "optimization_recommendations_count": len(
                        self._optimization_recommendations
                    ),
                    "performance_baseline": dict(self._performance_baseline),
                    "optimization_available": _UNIFIED_FIELDS_AVAILABLE,
                }
            )
        else:
            stats_data["optimization_analysis_enabled"] = False

        return stats_data


# Convenience helper -------------------------------------------------------
def stream_telemetry(
    G: Any,
    *,
    emitter: TelemetryEmitter,
    steps: Iterable[int],
    operator_sequence: Iterable[str] | None = None,
    extra: Mapping[str, Any] | None = None,
) -> list[TelemetryEvent]:
    """Record telemetry across a sequence of steps.

    Parameters
    ----------
    G : Any
        TNFR graph instance.
    emitter : TelemetryEmitter
        Active telemetry emitter.
    steps : Iterable[int]
        Step indices to record.
    operator_sequence : Iterable[str] | None
        Optional operator mnemonics aligned with steps.
    extra : Mapping[str, Any] | None
        Additional context (seed/run id).
    """

    events: list[TelemetryEvent] = []
    ops_iter = iter(operator_sequence) if operator_sequence is not None else None
    for s in steps:
        op_name = next(ops_iter) if ops_iter is not None else None
        events.append(emitter.record(G, step=s, operator=op_name, extra=extra))
    emitter.flush()
    return events